138128843376 has 320 divisors, whose sum is σ = 413802086400. Its totient is φ = 44087307264.

The previous prime is 138128843353. The next prime is 138128843393. The reversal of 138128843376 is 673348821831.

It is a happy number.

138128843376 is a `hidden beast` number, since 13 + 8 + 128 + 8 + 433 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194821710 + ... + 194822418.

It is an arithmetic number, because the mean of its divisors is an integer number (1293131520).

Almost surely, 2^138128843376 is an apocalyptic number.

138128843376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138128843376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206901043200).

138128843376 is an abundant number, since it is smaller than the sum of its proper divisors (275673243024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138128843376 is a wasteful number, since it uses less digits than its factorization.

138128843376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 138128843376 in words is "one hundred thirty-eight billion, one hundred twenty-eight million, eight hundred forty-three thousand, three hundred seventy-six".